4L 12s

↖ 3L 11s	↑ 4L 11s	5L 11s ↗
← 3L 12s	4L 12s	5L 12s →
↙ 3L 13s	↓ 4L 13s	5L 13s ↘

┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║│││║│││║│││║││││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLsssLsssLsss sssLsssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	3\16 to 1\4 (225.0 ¢ to 300.0 ¢)
Dark	0\4 to 1\16 (0.0 ¢ to 75.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	4L 8s
Sister	12L 4s
Daughters	16L 4s, 4L 16s
Neutralized	8L 8s
2-Flought	20L 12s, 4L 28s
Equal tunings
Equalized (L:s = 1:1)	3\16 (225.0 ¢)
Supersoft (L:s = 4:3)	10\52 (230.8 ¢)
Soft (L:s = 3:2)	7\36 (233.3 ¢)
Semisoft (L:s = 5:3)	11\56 (235.7 ¢)
Basic (L:s = 2:1)	4\20 (240.0 ¢)
Semihard (L:s = 5:2)	9\44 (245.5 ¢)
Hard (L:s = 3:1)	5\24 (250.0 ¢)
Superhard (L:s = 4:1)	6\28 (257.1 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 12 small steps, with a period of 1 large step and 3 small steps that repeats every 300.0 ¢, or 4 times every octave. 4L 12s is a grandchild scale of 4L 4s, expanding it by 8 tones. Generators that produce this scale range from 225 ¢ to 300 ¢, or from 0 ¢ to 75 ¢.

Modes

Modes of 4L 12s

UDP	Cyclic order	Step pattern
12|0(4)	1	LsssLsssLsssLsss
8|4(4)	4	sLsssLsssLsssLss
4|8(4)	3	ssLsssLsssLsssLs
0|12(4)	2	sssLsssLsssLsssL